Homogeneous Fibrations over Curves
Algebraic Geometry
2017-01-18 v3
Abstract
By studying the theory of rational curves, we introduce a notion of rational simple connectedness for projective homogeneous spaces. As an application, we prove that over a function field of an algebraic surface, a projective homogeneous space admits a rational point if the elementary obstruction vanishes.
Cite
@article{arxiv.1111.2963,
title = {Homogeneous Fibrations over Curves},
author = {Yi Zhu},
journal= {arXiv preprint arXiv:1111.2963},
year = {2017}
}
Comments
32 pages. Final version